9889600 has 84 divisors (see below), whose sum is σ = 27842464. Its totient is φ = 3386880.

The previous prime is 9889559. The next prime is 9889601. The reversal of 9889600 is 69889.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9889601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10759 + ... + 11641.

Almost surely, 2^9889600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13921232).

9889600 is an abundant number, since it is smaller than the sum of its proper divisors (17952864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9889600 is a wasteful number, since it uses less digits than its factorization.

9889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 897 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 9889600 is about 3144.7734417602. The cubic root of 9889600 is about 214.6477013881.

It can be divided in two parts, 98 and 89600, that added together give a palindrome (89698).

The spelling of 9889600 in words is "nine million, eight hundred eighty-nine thousand, six hundred".